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9/10-(1/5+1/2) what is the value of the expression?

1 Answer

3 votes

(9)/(10)-((1)/(5)+(1)/(2))

start solving the sum of fractions that is inside the parentheses


\begin{gathered} (9)/(10)-((1\cdot2+5\cdot1)/(5\cdot2)) \\ (9)/(10)-(2+5)/(10) \\ (9)/(10)-(7)/(10) \end{gathered}

then, solve subtraction of fractions with a common denominator


\begin{gathered} (9-7)/(10) \\ (2)/(10) \end{gathered}

simplify


(2)/(10)=(1)/(5)

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